A local inverse for nonlinear mappings

Adi Ben-Israel

doi:10.1023/a:1016698101320

A local inverse for nonlinear mappings

Adi Ben-Israel

Rutgers Business School, Management & Information Systems

Research output: Contribution to journal › Article › peer-review

Abstract

A mapping φ : ℝⁿ → ℝ^m, n ≤ m, with Jacobian of full column-rank, has a local inverse that is analogous to the Moore-Penrose inverse of linear mappings.

Original language	English (US)
Pages (from-to)	37-46
Number of pages	10
Journal	Numerical Algorithms
Volume	25
Issue number	1-4
DOIs	https://doi.org/10.1023/a:1016698101320
State	Published - 2000

All Science Journal Classification (ASJC) codes

Applied Mathematics

Keywords

Generalized inverses
Integration
Jacobians
Matrix volume
Surfaces

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10.1023/a:1016698101320

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title = "A local inverse for nonlinear mappings",

abstract = "A mapping φ : ℝn → ℝm, n ≤ m, with Jacobian of full column-rank, has a local inverse that is analogous to the Moore-Penrose inverse of linear mappings.",

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author = "Adi Ben-Israel",

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KW - Integration

KW - Jacobians

KW - Matrix volume

KW - Surfaces

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A local inverse for nonlinear mappings

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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